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Finding the Fourth Proportional to 6,232.22, 9,346.72 and 1,848.65

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Solution

The fourth proportional to 6,232.22, 9,346.72 and 1,848.65 is: 2,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.22 : 9,346.72 = 1,848.65 : x
  2. Step 2: Convert to fraction form
    6,232.22/9,346.72 = 1,848.65/x
  3. Step 3: Cross multiply
    6,232.22x = 9,346.72 × 1,848.65
  4. Step 4: Simplify right side
    6,232.22x = 17,278,813.93
  5. Step 5: Solve for x
    x = 17,278,813.93/6,232.22
  6. Step 6: Final answer
    x = 2,772.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.